A minimal model of an autonomous thermal motor

We consider a model of a Brownian motor composed of two coupled overdamped degrees of freedom moving in periodic potentials and driven by two heat reservoirs. This model exhibits a spontaneous breaking of symmetry and gives rise to directed transport in the case of a non- vanishing interparticle interaction strength. For strong coupling between the particles we derive an expression for the propagation velocity valid for arbitrary periodic potentials. In the limit of strong coupling the model is equivalent to the B\"uttiker-Landauer model [1-3] for a single particle diffusing in an environment with position dependent temperature. By using numerical calculations of the Fokker-Planck equation and simulations of the Langevin equations we study the model for arbitrary coupling, retrieving many features of the strong coupling limit. In particular, directed transport emerges even for symmetric potentials. For distinct heat reservoirs the heat currents are well-defined quantities allowing a study of the motor efficiency. We show that the optimal working regime occurs for moderate coupling. Finally, we introduce a model with discrete phase space which captures the essential features of the continuous model, can be solved in the limit of weak coupling, and exhibits a larger efficiency than the continuous counterpart.Comment: Revised version. Extended discussion on the discrete model. To appear in EP

Optimal finite-time heat engines under constrained control

This is the final version. Available on open access from the American Physical Society via the DOI in this recordWe optimize finite-time stochastic heat engines with a periodically scaled Hamiltonian under experimentally motivated constraints on the bath temperature T and the scaling parameter λ. We present a general geometric proof that maximum-efficiency protocols for T and λ are piecewise constant, alternating between the maximum and minimum allowed values. When λ is restricted to a small range and the system is close to equilibrium at the ends of the isotherms, a similar argument shows that this protocol also maximizes output power. These results are valid for arbitrary dynamics. We illustrate them for an overdamped Brownian heat engine, which can experimentally be realized using optical tweezers with stiffness λ.China Scholarship CouncilFundational Questions InstituteCaixa FoundationGovernment of SpainFundacio CellexFundacio Mir-PuigGeneralitat de Catalunya (CERCA)Engineering and Physical Sciences Research Council (EPSRC)Royal SocietySwiss National Science FoundationHumboldt foundationCzech Science Foundatio

Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems

This is the final version. Available on open access from IOP Publishing via the DOI in this recordData availability statement; All data that support the findings of this study are included within the article (and any supplementary files).We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how these results can be used to analyze cases in which the experimental control over the system is partial.Humboldt FoundationCzech Science Foundation'la Caixa' FoundationGovernment of SpainSevero OchoaFundacio CellexFundacio Mir-PuigGeneralitat de CatalunyaFundational Questions Institute FundEngineering and Physical Sciences Research Council (EPSRC)China Scholarship CouncilSwiss National Science Foundatio

Analysis of landrace cultivation in Europe: A means to support in situ conservation of crop diversity

During the last century, the progressive substitution of landraces with modern, high yielding varieties, led to a dramatic reduction of in situ conserved crop diversity in Europe. Nowadays there is limited and scattered information on where landraces are cultivated. To fill this gap and lay the groundwork for a regional landrace in situ conservation strategy, information on more than 19,335 geo-referenced landrace cultivation sites were collated from 14 European countries. According to collected data, landraces of 141 herbaceous and 48 tree species are cultivated across Europe: Italy (107 species), Greece (93), Portugal (45) and Spain (44) hold the highest numbers. Common bean, onion, tomato, potato and apple are the species of main interest in the covered countries. As from collected data, about 19.8% of landrace cultivation sites are in protected areas of the Natura 2000 network. We also got evidence that 16.7% and 19.3% of conservation varieties of agricultural species and vegetables are currently cultivated, respectively. Results of the GIS analysis allowed the identification of 1261 cells (25 km × 25 km) including all the cultivation sites, distributed across all European biogeographical regions. Data of this study constitute the largest ever produced database of in situ-maintained landraces and the first attempt to create an inventory for the entire Europe. The availability of such resource will serve for better planning of actions and development of policies to protect landraces and foster their use

Genetic differentiation of Rubus chamaemorus populations in the Czech Republic and Norway after the last glacial period

The population structure of cloudberry (Rubus chamaemorus L.), collected from Krkonose Mountains (the Czech Republic), continental Norway and Spitsbergen, was examined using microsatellite analyses (SSR). Among 184 individuals, 162 different genotypes were identified. The overall unbiased gene diversity was high (urn:x-wiley:20457758:media:ece34101:ece34101-math-0001). A high level of genetic differentiation among populations (FST = 0.45; p < .01) indicated restricted gene flow between populations. Using a Bayesian approach, six clusters were found which represented the genetic structure of the studied cloudberry populations. The value of correlation index between genetic and geographical distances (r = .44) indicates that gene flow, even over a long distance, could exist. An exact test of population differentiation showed that Rubus chamaemorus populations from regions (Krkonose Mountains, continental Norway and Spitsbergen) are differentiated although some individuals within populations share common alleles even among regions. These results were confirmed by AMOVA, where the highest level of diversity was found within populations (70.8%). There was no difference between 87 pairs of populations (18.7%) mostly within cloudberry populations from continental Norway and from Spitsbergen. Based on obtained results, it is possible to conclude that Czech and Norwegian cloudberry populations are undergoing differentiation, which preserves unique allele compositions most likely from original populations during the last glaciation period. This knowledge will be important for the creation and continuation of in situ and ex situ conservation of cloudberry populations within these areas.publishedVersio

CREATION OF A WEB MAP AND MOBILE APPLICATION BASED ON A PRINTED BOOK

The project describes a process of conversion of printed books into a web map and mobile application. The goal of the project is to make spatial data in the book accessible to wide public using GIS especially on web in order to spread the information about this topic. Moreover, as a result of the analysis and of the new perspectives gained from the data context, historians will be able to find new connections. The books that serve as sources of the project (two books with the scope of about 1400 pages featuring hundreds of locations where each location is associated with more events of different types) refer to places with many addresses in Prague and some villages in the Czech Republic which are related to events that took place during the World War II. The paper describes the steps of conversion, the design of the data model in Esri geodatabase and examples of outputs. The historical data are connected to actual addresses and thanks to such a combination of historical and actual locations, the project will help to discover a part of the history of the Czech Republic and it will show new context in data via GIS capabilities. This project is a continuation of a project which recorded a march of death on a map. This is a unique project created in cooperation with Academia Publishing. The outputs of the project will serve as a core resource for a multimedia history portal. The author of the book is currently writing sequels from the post-war period and at least two other books are envisioned, so the future of the project is ensured

Chiroptical Properties of (+)-Corycavine and Corycavamine

The resolution of racemic corycavine via its (+)-10-camphorsulfonate, the equivalency of (+)-corycavine and corycavamine, as well as the racemization of (+)-corycavine are described. 13R-Configuration is assigned to (+)-corycavine, based on CD data. Die Enantiomerentrennung von razemischem Corycavin über das (+)-10- Kampfersulfonat, die Identität von (+)-Corycavin mit Corycavamin und die Razemisierung von (+)-Corycavin werden beschrieben. Aufgrund von CD-Messungen wird (+)-Corycavin 13R-Konfiguration zugeordne